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Ancilla-Assisted Measurement of Quantum Work

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Thermodynamics in the Quantum Regime

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 195))

Abstract

We review the use of an external auxiliary detector for measuring the full distribution of the work performed on or extracted from a quantum system during a unitary thermodynamic process. We first illustrate two paradigmatic schemes that allow one to measure the work distribution: a Ramsey technique to measure the characteristic function and a positive operator valued measure (POVM) scheme to directly measure the work probability distribution. Then, we show that these two ideas can be understood in a unified framework for assessing work fluctuations through a generic quantum detector and describe two protocols that are able to yield complementary information. This allows us also to highlight how quantum work is affected by the presence of coherences in the system’s initial state. Finally, we describe physical implementations and experimental realisations of the first two schemes.

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Acknowledgements

We thank R. Fazio, J. Goold, L. Mazzola, K. Modi, M. Paternostro and J. P. Paz for illuminating discussions. P.S. has received funding from the European Union FP7/2007-2013 under REA Grant Agreement No. 630925, COHEAT, and from MIUR-FIRB2013, Project Coca (Grant No. RBFR1379UX). FC and AJR acknowledge financial support from ANPCyT (PICT 2013-0621 and PICT 2014-3711), CONICET and UBACyT.

Author information

Authors and Affiliations

  1. School of Mathematics and Physics, Centre for Theoretical Atomic, Molecular and Optical Physics, Queen’s University, Belfast, BT7 1NN, UK

    Gabriele De Chiara

  2. SPIN-CNR, Via Dodecaneso 33, 16146, Genova, Italy

    Paolo Solinas

  3. Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and IFIBA, CONICET, Ciudad Universitaria, 1428, Buenos Aires, Argentina

    Federico Cerisola & Augusto J. Roncaglia

Authors
  1. Gabriele De Chiara
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  2. Paolo Solinas
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  3. Federico Cerisola
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  4. Augusto J. Roncaglia
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Corresponding author

Correspondence to Gabriele De Chiara .

Editor information

Editors and Affiliations

  1. School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore

    Felix Binder

  2. School of Mathematical Sciences, University of Nottingham, Nottingham, UK

    Luis A. Correa

  3. ICFO: Institut de Ciencies Fotoniques, Barcelona Institute of Science and Technology, Castelldefels, Spain

    Christian Gogolin

  4. CEMPS, Physics and Astronomy, University of Exeter, Exeter, UK

    Janet Anders

  5. School of Mathematical Sciences, University of Nottingham, Nottingham, UK

    Gerardo Adesso

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De Chiara, G., Solinas, P., Cerisola, F., Roncaglia, A.J. (2018). Ancilla-Assisted Measurement of Quantum Work. In: Binder, F., Correa, L., Gogolin, C., Anders, J., Adesso, G. (eds) Thermodynamics in the Quantum Regime. Fundamental Theories of Physics, vol 195. Springer, Cham. https://doi.org/10.1007/978-3-319-99046-0_14

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